111012122993 has 2 divisors, whose sum is σ = 111012122994. Its totient is φ = 111012122992.

The previous prime is 111012122959. The next prime is 111012123043. The reversal of 111012122993 is 399221210111.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 105515828224 + 5496294769 = 324832^2 + 74137^2 .

It is a cyclic number.

It is not a de Polignac number, because 111012122993 - 2⁶ = 111012122929 is a prime.

It is not a weakly prime, because it can be changed into another prime (111012122933) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55506061496 + 55506061497.

It is an arithmetic number, because the mean of its divisors is an integer number (55506061497).

Almost surely, 2^111012122993 is an apocalyptic number.

It is an amenable number.

111012122993 is a deficient number, since it is larger than the sum of its proper divisors (1).

111012122993 is an equidigital number, since it uses as much as digits as its factorization.

111012122993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1944, while the sum is 32.

The spelling of 111012122993 in words is "one hundred eleven billion, twelve million, one hundred twenty-two thousand, nine hundred ninety-three".